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Use a separate sheet of notebook paper showing the work for each problem. Document the process used while solving each exercise or problem. Box or highlight your final answer on the notebook paper.

****Answer all the questions below and turn them in on THE FIRST DAY of geometry class. 

1. Solve 3 – (2t + 5) = -12. ()
2. Solve 5a – 15 + 9a = 3a + 29.
3. Solve y – 7 > 3 + 2y. ()
4. Solve 15 + 6n < -33.
5. The figures below are made from toothpicks. Use this pattern to determine how many toothpicks are in Figure 10. 
   
   
6. Find the slope of the line through (-4, 2) and (5, 8). ()
7. Draw a triangle that has sides of lengths 3.6 cm and 5.2 cm and a 42° angle between these two sides.
8. A fence along a schoolyard is 250 ft long. There is a fence post every 10ft. How many fence posts are there?
9. Simplify (-15)². ()
10. Simplify
    
    . ()
11. Evaluate the expression –x(y – 8)² for x = -2 and y = 5. ()
12. Simplify 4x – (2 – 3x) + 5. ()
13. Complete by filling in the blank:               0.25 km = _______ m ()
14. Complete by filling in the blank:               180 in. = ________ yd
15. Solve the system of equations: 
    
     ()
16. Solve the system of equations: 
    
17. Solve A = 4πr² for r. ()
18. Simplify the ratio 0.6 : 2.4. ()
19. Simplify the ratio 18b² to 45b.
20. An athletic club has 248 members. Of these, 164 lift weights and 208 perform cardiovascular exercises regularly. All members do at least one of those activities. How many members do both? ()
21. Solve |x| - 7 = 6. ()
22. Draw graphs of y = x² and y = -2x in the same coordinate plane. ()
23. Draw graphs of y = x² and y = x² + 3 in the same coordinate plane.
24. Solve x² + 6x -7 = 0 for x. ()
25. Maria gave one-half of her jelly beans to Carl. Carl gave one-third of those to Austin. Austin gave one-fourth of those to Carmen. If Carmen received two jelly beans, how many did Maria start with?
26. Write 5.9% as a decimal. ()
27. Simplify 18% of 300. ()
28. Simplify 
    
     ()
29. Simplify
    
    .
30. A bag contains 4 blue marbles, 6 green marbles, and 2 red marbles. What is the probability of selecting a red marble? ()
31. A bag contains 4 blue marbles, 6 green marbles, and 2 red marbles. A green marble is removed from the bag. What is the probability that the next marble selected will be blue?

Tips to be successful in ATYP Geometry!

ALWAYS prepare for your next class! When reading new sections to be discussed in class ~

• Pay attention to what the book calls “New Vocabulary.” Some words or concepts may be familiar (highlighted in yellow). The definition or usage in Geometry may be a little different than areas outside of mathematics or in science. For each new vocabulary word, think about how the concepts can be demonstrated in an shape or an example.
• Read through the introduction of each new section. Study the processes in each example. Come to class with questions about what you’ve read or about specific problems in homework (can also email during week before class). After the school year starts, you will want to exchange phone numbers so you can also ask classmates to study groups or to work together over the phone.
• ALWAYS …Bring completed homework to class along with any work done (show your work!), stapled together, in order by section, put your name and due date on top of the first page, initials thereafter. If it took more than one step in your head, then SHOW YOUR WORK and circle the answer reached. Remember: neatness counts!